I would think you would want to go ahead and remove all the affected branches now rather than waiting until spring. I belive leaving them attached to the "mother" plant might allow disease at the joint. Having everything exposed to air would limit problems. Unless you have a greenhouse or live in S. FL or S. CA, simply put the branches in a bag and place the bag in a heated area. You can pot up the branches next spring and will then have two more plants. If you have a greenhouse or live in sub-tropical areas, you can pot up the branches now. Hetty is the expert though and I would defer to her for the final word. Ken